Use the rules of exponents to simplify the expression below. [ ( 2 x 2 ) ( 2 x ) 2 ( − 2 x 2 ) ( 2 x ) ] 2 \left[ \frac { \left( 2 x ^ { 2 } \right) ( 2 x ) ^ { 2 } } { \left( - 2 x ^ { 2 } \right) ( 2 x ) } \right] ^ { 2 } [ ( − 2 x 2 ) ( 2 x ) ( 2 x 2 ) ( 2 x ) 2 ] 2 A) 4 x 2 4 x ^ { 2 } 4 x 2 B) − 6 x 5 - 6 x ^ { 5 } − 6 x 5 C) 3 x 2 3 x ^ { 2 } 3 x 2 D) 14 x 7 14 x ^ { 7 } 14 x 7 E) 5 x 6 5 x ^ { 6 } 5 x 6

Question

Use the rules of exponents to simplify the expression below.   [ ( 2 x 2 )  ( 2 x )  2 ( − 2 x 2 )  ( 2 x )  ] 2 \left[ \frac { \left( 2 x ^ { 2 } \right)  ( 2 x )  ^ { 2 } } { \left( - 2 x ^ { 2 } \right)  ( 2 x )  } \right] ^ { 2 } [ ( − 2 x 2 )  ( 2 x )  ( 2 x 2 )  ( 2 x )  2 ​ ] 2 A)    4 x 2 4 x ^ { 2 } 4 x 2 B)    − 6 x 5 - 6 x ^ { 5 } − 6 x 5 C)    3 x 2 3 x ^ { 2 } 3 x 2 D)    14 x 7 14 x ^ { 7 } 14 x 7 E)    5 x 6 5 x ^ { 6 } 5 x 6

SARAH Nhlapo · Accepted Answer

Final Answer : A, Explanation :   First, simplify the expression inside the brackets:   ( 2 x 2 ) ( 4 x 2 ) ( − 4 x 3 ) = 8 x 4 − 4 x 3 = − 2 x \frac{(2x^2)(4x^2)}{(-4x^3)} = \frac{8x^4}{-4x^3} = -2x ( − 4 x 3 ) ( 2 x 2 ) ( 4 x 2 ) ​ = − 4 x 3 8 x 4 ​ = − 2 x  . Squaring this result gives   4 x 2 4x^2 4 x 2  .

Use the rules of exponents to simplify the expression below. $]2\left[ \frac { \left( 2 x ^ { 2 } \right) ( 2 x ) ^ { 2 } } { \left( - 2 x ^ { 2 } \right) ( 2 x ) } \right] ^ { 2 }$

A) $4 x ^ { 2 }$
B) $6 x ^ { 5 }$
C) $3 x ^ { 2 }$
D) $14 x ^ { 7 }$
E) $5 x ^ { 6 }$

Definitions

Learning Objectives

Learning Objectives

Related questions